When flying a kite peter without 45 feet of string and anchors it to the ground. he determines the angle of elevation of the kite is 63°. what is the height of the kite from the ground? round to the nearest 10th.

We're going to  use trigometric functions! 

So we know the angle is 63° (Ф=63°)
the length of the string is 45 ft (hyp=45)
and we need to solve for height (h=?)

Using sinФ=

We can rewrite it as
sinФ=

By isolating the height (h) we can find the value
sinФ=
h= hyp(sinФ)

Then insert value of hyp, Ф and find height
h= hyp(sinФ) = 45sin63 = 40 ft

The kite is 40 ft off the ground

If the diameter is 8 than the radius is 4 because 2r or 2*radius equals the diameter. 4*2=8. 8/2=4.